Biangular Lines Revisited
Loading...
Access rights
openAccess
publishedVersion
URL
Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
This publication is imported from Aalto University research portal.
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Other link related to publication (opens in new window)
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Other link related to publication (opens in new window)
Authors
Date
Major/Subject
Mcode
Degree programme
Language
en
Pages
30
Series
Discrete and Computational Geometry, Volume 66, issue 3, pp. 1113-1142
Abstract
Line systems passing through the origin of the d-dimensional Euclidean space admitting exactly two distinct angles are called biangular. It is shown that the maximum cardinality of biangular lines is at least 2(d - 1)(d - 2), and this result is sharp for d is an element of{4, 5, 6}. Connections to binary codes, few-distance sets, and association schemes are explored, along with their multiangular generalization.Description
Funding Information: This research was supported in part by the Academy of Finland, Grant #289002. Publisher Copyright: © 2021, The Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
Keywords
Other note
Citation
Ganzhinov, M & Szöllősi, F 2021, 'Biangular Lines Revisited', Discrete and Computational Geometry, vol. 66, no. 3, pp. 1113-1142. https://doi.org/10.1007/s00454-021-00276-6